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4 August, 03:47

4.5x - 2y = 15

3x - y = 10

(answer as a combined pair)

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Answers (1)
  1. 4 August, 04:12
    0
    x = 10/3, y = 0

    Step-by-step explanation:

    Solve the following system:

    {4.5 x - 2 y = 15

    3 x - y = 10

    In the first equation, look to solve for x:

    {4.5 x - 2 y = 15

    3 x - y = 10

    4.5 x - 2 y = (9 x) / 2 - 2 y:

    (9 x) / 2 - 2 y = 15

    Add 2 y to both sides:

    { (9 x) / 2 = 2 y + 15

    3 x - y = 10

    Multiply both sides by 2/9:

    {x = (4 y) / 9 + 10/3

    3 x - y = 10

    Substitute x = (4 y) / 9 + 10/3 into the second equation:

    {x = (4 y) / 9 + 10/3

    3 ((4 y) / 9 + 10/3) - y = 10

    3 ((4 y) / 9 + 10/3) - y = ((4 y) / 3 + 10) - y = y/3 + 10:

    {x = (4 y) / 9 + 10/3

    y/3 + 10 = 10

    In the second equation, look to solve for y:

    {x = (4 y) / 9 + 10/3

    y/3 + 10 = 10

    Subtract 10 from both sides:

    {x = (4 y) / 9 + 10/3

    y/3 = 0

    Multiply both sides by 3:

    {x = (4 y) / 9 + 10/3

    y = 0

    Substitute y = 0 into the first equation:

    Answer: {x = 10/3, y = 0
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